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Finding the Third Proportional to 491,305.50 and 745,827.75

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Solution

The third proportional to 491,305.50 and 745,827.75 is: 1,132,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,305.50 : 745,827.75 = 745,827.75 : x
  2. Step 2: Convert to fraction form
    491,305.50/745,827.75 = 745,827.75/x
  3. Step 3: Cross multiply
    491,305.50x = 745,827.75 × 745,827.75
  4. Step 4: Simplify right side
    491,305.50x = 556,259,032,670.06
  5. Step 5: Solve for x
    x = 556,259,032,670.06/491,305.50
  6. Step 6: Final answer
    x = 1,132,206.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.